Geodesic
Coherent states on~lie groups and evolution operator of a~system of~interacting bosons and fermions
Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 2, pp. 218-227

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Matrix elements of the evolution operator of boson-fermion system between coherent states are calculated by means of the method of coherent states on the Lie groups. It is shown that the dynamics of a quantized system of interacting bosons and fermions with finite number of the degrees of freedom and three-particle interaction Hamiltonian can be described by means of a certain trajectory in the direct product of the rotation group and the group of border matrices. Differential equation determining this trajectory is derived. 
@article{TMF_1977_30_2_a7,
     author = {L. F. Novikov},
     title = {Coherent states on~lie groups and evolution operator of a~system of~interacting bosons and fermions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {218--227},
     publisher = {mathdoc},
     volume = {30},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_30_2_a7/}
}
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L. F. Novikov. Coherent states on~lie groups and evolution operator of a~system of~interacting bosons and fermions. Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 2, pp. 218-227. http://geodesic.mathdoc.fr/item/TMF_1977_30_2_a7/